Improved Optimum Radius for Robust Stability of Schur Polynomials

被引：2

作者：

Choo, Younseok ^{[1
]}

机构：

[1] Hongik Univ, Dept Elect & Elect Engn, Sejong Chungnam 339701, South Korea

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2014年 / 161卷 / 02期

关键词：

Robust stability; Schur polynomial;

D O I：

10.1007/s10957-013-0419-0

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

An approach based on the Rouch, theorem was introduced in the literature to compute the optimum radius for robust stability of Schur polynomials. Later an attempt was made to improve the result, but it was shown to be incorrect. The purpose of this note is to show that an improved optimum radius still can be obtained by modifying the proposed method. The result of this note can be easily extended to the multidimensional cases.

引用

页码：553 / 556

页数：4

共 50 条

[31] Schur stability of convex combinations of complex polynomials
Choo, Younseok
Choi, Gin Kyu
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2007, E90A (11) : 2612 - 2615
[32] Schur stability regions for complex quadratic polynomials
Cheng, Sui Sun
Huang, Shao Yuan
[J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2010, 41 (07) : 950 - 964
[33] Schur stability of the convex combination of complex polynomials
Bialas, Stanislaw
Bialas, Malgorzata
[J]. CONTROL AND CYBERNETICS, 2010, 39 (02): : 551 - 558
[34] On the Monotonic Condition for Schur Stability of Real Polynomials
Choo, Younseok
Choi, Gin-Kyu
[J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2011, E94A (12) : 2886 - 2888
[35] Some remarks on the Schur stability of interval polynomials
Jetto, Leopoldo
Orsini, Valentina
[J]. 2008 MEDITERRANEAN CONFERENCE ON CONTROL AUTOMATION, VOLS 1-4, 2008, : 131 - 134
[36] ON ROBUST SCHUR PROPERTY OF DISCRETE-TIME POLYNOMIALS
KATBAB, A
JURY, EI
MANSOUR, M
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1992, 39 (06): : 467 - 470
[37] Robust Schur stability with polynomial parameters
Dumitrescu, Bogdan
Chang, Bor-Chin
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (07) : 535 - 537
[38] Simplification of a recent result on robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond
Yen, KK
Zhou, SF
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1997, 334B (01): : 93 - 97
[39] Counterexample and correction to a result on robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond
Yen, KK
Zhou, SF
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1996, 333B (02): : 175 - 190
[40] A SIMPLE TEST FOR SCHUR STABILITY OF A DIAMOND OF COMPLEX POLYNOMIALS
TEMPO, R
[J]. PROCEEDINGS OF THE 28TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-3, 1989, : 1892 - 1895

← 1 2 3 4 5 →